Hello Monica.
Her parents were Robert Kirkpatrick and Agnes, m.s. Smyth[e], who married in Ireland in December 1876.
I latched on to Eliza after extensive searches in the online British Newspaper Archive and ScotlandsPeople, and after seeing the family tree that included John Reid. I looked for deaths in Argyll that might fit the details (Eliza/Elza/Elizabeth).
The last mention of 'Mrs Reid, Innellan' was in the May 23 1958 chess column of the Glasgow Herald. Her death was registered at Dunoon, with a home address in Kirn. Of course, there may have been another move after their arrival in Innellan.
I posted something to a Blantyre family history site, but without success.
Although I am the Chess Scotland historian I live in Canada, so local research is not possible. And, as mentioned, I cannot be certain that this is the correct Mrs Reid, but if you don't try...
Alan